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lisabon 2012 [21]
2 years ago
8

The height of a cylinder is twice the radius of its base. A cylinder has a height of 2 x and a radius of x. What expression repr

esents the volume of the cylinder, in cubic units? 4πx2 2πx3 πx2 + 2x 2 + πx3
Mathematics
2 answers:
storchak [24]2 years ago
7 0

Its B on edg - 2pi^3

cluponka [151]2 years ago
5 0
<h2>Answer:</h2><h2>volume of the cylinder = 2πx^{3}</h2>

Step-by-step explanation:

The height of a cylinder is twice the radius of its base.

Let the height of the cylinder = 2x

Let the radius of the cylinder = x

By formula, volume of the cylinder = πr^{2} h

here r = x, h = 2x

substituting the values in the equation, we get

volume of the cylinder = πr^{2} h =  π x^{2} (2x)

volume of the cylinder = 2πx^{3}

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Renee, Susan, and Martha will share the cost to rent a vacation house for a week. ​Renee will pay 40% of the cost. Susan will pa
notsponge [240]

Answer:

Martha is incorrect.

Amount paid by Renee = \$340

Amount paid by Susan = $297.5

Amount paid by Martha = \$212.5

Step-by-step explanation:

Given: ​Renee will pay 40% of the cost. Susan will pay 0.35 of the cost.Martha will pay the remainder of the cost. Martha thinks she will pay 13 of the cost.

To find: Is Martha correct?

To find: amount paid by each of Renee, Susan, and Martha

Solution:

Percentage of an amount paid by Renee = 40%

Percentage of an amount paid by Susan = 35%

So,

Percentage of an amount paid by Martha = 100-40-35=25\%

But Martha thinks she will pay 13 of the cost. So, she is incorrect.

Amount paid by Renee = \frac{40}{100}(850)=\$340

Amount paid by Susan = \frac{35}{100}(850)=\$297.5

Amount paid by Martha = \frac{25}{100}(850)=\$212.5

5 0
2 years ago
A firm has a revenue function that can be represented by r (x)=700x-0.35x^2, where r (x) is the total revenue (in dollars) and x
Fudgin [204]

Answer:

How many units need to be sold to produce the maximum revenue? 1000 units

How many in dollars is the maximum revenue when the maximum of units are sold? $350,000

Step-by-step explanation:

We get max value of a function if we differentiate it and set it equal to 0.

We need to differentiate r(x) and set it equal to 0 and solve for x.

<u><em>That would be number of units sold to get max revenue.</em></u>

<u><em /></u>

<u>Then we take that "x" value and substitute into r(x) to get the max revenue amount.</u>

<u />

Before differentiating, we see the rules shown below:

f(x)=ax^n\\f'(x)=n*ax^{n-1}

Where

f'(x) is the differentiated function

Now, let's do the process:

r (x)=700x-0.35x^2\\r(x)=700-2*0.35x\\r(x)=700-0.7x\\0=700-0.7x\\0.7x=700\\x=1000

So, 1000 units need to be sold for max revenue

Now, substituting, we get:

r (x)=700x-0.35x^2\\r(1000)=700(1000)-0.35(1000)^2\\r(1000)=350,000

The max revenue amount is $350,000

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C

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Same as what I explained in your last question.

840, base, perimeter.

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